International Journal of Mathematics and Mathematical Sciences 
Volume 26 (2001), Issue 12, Pages 759-764
doi:10.1155/S0161171201005798

Stable rings generated by their units

Huanyin Chen

Department of Mathematics, Hunan Normal University, Changsha 410006, China

Received 12 September 2000

Abstract

We introduce the class of rings satisfying (m,1)-stable range and investigate equivalent characterizations of such rings. These give generalizations of the corresponding results by Badawi (1994), Ehrlich (1976), and Fisher and Snider (1976).